422131343131224 has 192 divisors, whose sum is σ = 1161012512799360. Its totient is φ = 138543088435200.

The previous prime is 422131343131213. The next prime is 422131343131259.

422131343131224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 313 + 4 + 3 + 1 + 312 + 24 = 666.

422131343131224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3807629217 + ... + 3807740079.

It is an arithmetic number, because the mean of its divisors is an integer number (6046940170830).

Almost surely, 2^{422131343131224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422131343131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580506256399680).

422131343131224 is an abundant number, since it is smaller than the sum of its proper divisors (738881169668136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422131343131224 is a wasteful number, since it uses less digits than its factorization.

422131343131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113882 (or 113875 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 422131343131224 in words is "four hundred twenty-two trillion, one hundred thirty-one billion, three hundred forty-three million, one hundred thirty-one thousand, two hundred twenty-four".